Algebraic & Geometric Topology Volume 11, issue 1 (2011)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the journal

Ethics and policies

Peer-review process

Submission guidelines

Submission form

Editorial board

ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

Other MSP journals

Rigidification of quasi-categories

Daniel Dugger and David I Spivak

Algebraic & Geometric Topology 11 (2011) 225–261

DOI: 10.2140/agt.2011.11.225

Bibliography

1	M Artin, B Mazur, Etale homotopy, Lecture Notes in Math. 100, Springer (1969) MR0245577
2	H J Baues, Geometry of loop spaces and the cobar construction, Mem. Amer. Math. Soc. 25, no. 230 (1980) MR567799
3	J E Bergner, A model category structure on the category of simplicial categories, Trans. Amer. Math. Soc. 359 (2007) 2043 MR2276611
4	A K Bousfield, D M Kan, Homotopy limits, completions and localizations, Lecture Notes in Math. 304, Springer (1972) MR0365573
5	J M Cordier, Sur la notion de diagramme homotopiquement cohérent, from: "Third Colloquium on Categories, Part VI (Amiens, 1980)", Cahiers Topologie Géom. Différentielle 23 (1982) 93 MR648798
6	J M Cordier, T Porter, Vogt's theorem on categories of homotopy coherent diagrams, Math. Proc. Cambridge Philos. Soc. 100 (1986) 65 MR838654
7	D Dugger, A primer on homotopy colimits, Preprint (2008)
8	D Dugger, D I Spivak, Mapping spaces in quasi-categories, Alg. Geom. Topol. 11 (2011) 225
9	W G Dwyer, D M Kan, Function complexes in homotopical algebra, Topology 19 (1980) 427 MR584566
10	P S Hirschhorn, Model categories and their localizations, Math. Surveys and Monogr. 99, Amer. Math. Soc. (2003) MR1944041
11	A Joyal, Quasi-categories and Kan complexes, J. Pure Appl. Algebra 175 (2002) 207 MR1935979
12	A Joyal, The theory of quasi-categories, Preprint (2008)
13	J Lurie, Higher topos theory, Annals of Math. Studies 170, Princeton Univ. Press (2009) MR2522659
14	S Mac Lane, Categories for the working mathematician, Graduate Texts in Math. 5, Springer (1998) MR1712872
15	D Quillen, Higher algebraic $K$–theory. I, from: "Algebraic $K$–theory, I: Higher $K$-theories (Proc. Conf., Battelle Memorial Inst., Seattle, Wash., 1972)" (editor H Bass), Lecture Notes in Math. 341, Springer (1973) 85 MR0338129